Not really. Mechanical damping is used for cartridges. Extra electrical damping from a low load impedance might be unhelpful. Whether this is the case would depend on how tightly coupled the mechanical and electrical aspects are. In a speaker they are sufficiently coupled that one affects the other; I don't know about a cartridge but I would suspect the coupling is smaller as efficiency is less of an issue.

One common mistake is to add mechanical damping to the turntable/tonearm system without first considering electrical optimization to address the brightness and high-frequency. The problem with this approach is that the transient and decay of musical notes are affected by mechanical over-damping.

I have to say...
...having recently read Morgan Jones's enlightening description of 'resistor production techniques' in his exellent book 'Valve Amplifiers'...
...my current 'anxiety dreams' all concern resistors, not parallel position switches.

Also as a user of the equally superb Audio Synthesis DIY built PA-138 stepped-attenuator...
...which has a number of switch-contacts in the signal-path...
...the anxiety level caused by this & the long-serving speaker-cables...
...remains firmly at the bottom of my list of 'system-worries'.
( system sounds good; ALWAYS room for improvement though; we think )